$\frac{?}{{?}_{\frac{?}{?}}}$ Problem $6\mathrm{.}3$

Several mountain streams in Colorado have a local slope $S_{0}0\mathrm{.}04$ and Manning $n0\mathrm{.}03.$ If the peak flow depth is $6ft,$ estimate the velocity and Froude number. Calculate the wave number of a $1,000-ft-$long flood wave. Determine whether this wave would attenuate or amplify. If the wave is initially $1ft$ high, can you estimate its height $1,000ft$ downstream? Why did several mountain rivers cause severe roadway damage during the $2013$ Colorado floods?

$[$Answer: $V33f\frac{t}{s},Fr2\mathrm{.}36,1,$ and $c1\mathrm{.}46V,1,$ and ${}_{1}0\mathrm{.}34$ and the wave will amplify from $1ft$ to $y_d{e}^{0\mathrm{.}34}=1\mathrm{.}4ft$ within a distance of $1,000ft.]$